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Finding the Fourth Proportional to 76.39, 114.08 and 66.13

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Solution

The fourth proportional to 76.39, 114.08 and 66.13 is: 98.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.39 : 114.08 = 66.13 : x
  2. Step 2: Convert to fraction form
    76.39/114.08 = 66.13/x
  3. Step 3: Cross multiply
    76.39x = 114.08 × 66.13
  4. Step 4: Simplify right side
    76.39x = 7,543.99
  5. Step 5: Solve for x
    x = 7,543.99/76.39
  6. Step 6: Final answer
    x = 98.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.